Abstract
In this paper, by using admissible mapping, Wong type contraction mappings are extended and investigated in the framework of quasi-metric spaces to guarantee the existence of fixed points. We consider examples to illustrate the main results. We also demonstrate that the main results of the paper cover several existing results in the literature.
Highlights
Introduction and PreliminariesIn 1974, Wong [1] announced an interesting extension of renowned Banach’s contraction principle via auxiliary functions αi : (0, ∞) → [0, ∞)
As we derive Theorem 4, by letting some β i = 0, for distinct combinations of i ∈ {1, 2, 3, 4} in Theorem 2, we get some more corollaries of Theorem 2, and consequences of Theorem 3
We deduce that the main results of the paper cover several existing results in the literature, e.g., [1,5,9]
Summary
Introduction and PreliminariesIn 1974, Wong [1] announced an interesting extension of renowned Banach’s contraction principle via auxiliary functions αi : (0, ∞) → [0, ∞). Let A be a self-mapping on a metric space (M, d) and { f i }5i=1 be a set of Wong (auxiliary) functions. [1] If a self-mapping A, on a complete metric space (M, d), is a Wong type contraction, A has exactly one fixed point.
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